Test Review Unit 3 Name:_____________________
Write the prime factorization of the following numbers using exponents.
1) 100 2) -63a2b 3) 27h2
Evaluate each expression. Show all of your work.
1
4) -43 5) ( ) 4 6) 5 squared
2
7) 10 5 8) 5 2 2 3 30
1
Evaluate each expression. Let a = -4, b = 10, c = -2, d = , and e = 6.
5
9) a2 + b3 10) d 3 e 0 11) c 2 e 2
Write each product using an exponent.
12) 5 5 5 13) y y a a a 14) 2 2 2 3 3
Write each power as a product of the same factor.
15) 4cubed 16) 8 2 17) 6 5
18) Explain why 10 3 is not equal to 30? How do you find the correct answer for 10 3 ?
19) How many factors of 10 are in 100,000? Why do you know that?
Multiply by using mental math.
1
20) 4.86 x10 3 21) x3 22) 0.528 x10 2
100
1
23) 81x 24) 79x10 4 25) 9.201x10 0
1000
.
26) Write each number in scientific notation.
a.) 123,780 b.) 0.892 c.) 0.0005
27) Write in standard form.
a.) 5.7 x 10-4 b.) 8.67 x 105 c.) 3.07 x 10-3
28) A sample from the Sahara Desert contains grains of sand. A sample from the
Chihuahuan Desert has grains of sand. Which sample has more grains of sand--- the
Sahara Desert or the Chihuahuan Desert?
29) 235.6 x 10-3 + 0.00007 x 105 =
30) 9 x 103 + 5 x 101 + 8 x 100 + 2 x 10-2 + 4 x 10-3 =